Staff Selection Commission Combined Graduate Level Exam
Question : Identify the segment in the sentence which contains a grammatical error.
He thinks that he can get away among lying and cheating.
Option 1: among lying
Option 2: he can get away
Option 3: He thinks that
Option 4: and cheating
Correct Answer: among lying
Solution : The error lies in the first option.
The preposition among is not suitable in this context. The correct preposition to use here is with. The phrase get away with is an idiomatic expression, and in this context, with is the correct preposition to convey
Question : In the given figure, $ABC$ is an isosceles triangle with $\mathrm{BC}=8 \mathrm{~cm}$ and $\mathrm{AB}=\mathrm{AC}$ $=5 \mathrm{~cm}$. The value of $\tan \mathrm{C}-\cot \mathrm{B}$ is______.
Option 1: $-\frac{5}{12}$
Option 2: $-\frac{7}{12}$
Option 3: $\frac{7}{12}$
Option 4: $\frac{5}{12}$
Correct Answer: $-\frac{7}{12}$
Solution : Given, $ABC$ is an isosceles triangle with $\mathrm{BC}=8 \mathrm{~cm}$ and $\mathrm{AB}=\mathrm{AC}$ $=5 \mathrm{~cm}$ In $\Delta ABC$, $AD$ is the perpendicular bisector. $BD=DC=\frac{BC}2$ $⇒BD=DC = \frac{8}2 = 4$ In $\Delta ADC$, by Pythagoras Theorem, $AC^2 = DC^2 + AD^2$ $⇒5^2 = 4^2 + AD^2$ $⇒AD^2 =
Question : If the difference between the compound interest and simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is:
Option 1: Rs. 2000
Option 2: Rs. 4000
Option 3: Rs. 6000
Option 4: Rs. 8000
Correct Answer: Rs. 8000
Solution : Rate, $R = 5$% Term, $n = 2$ years Let the principal be Rs. $P$. CI – SI = Rs. 20 Difference between CI and SI in 2 years = $\frac{PR^2}{10000}$ So, 20 = $\frac{P×5^2}{10000}$ ⇒ $P$ = Rs. 8000 Hence, the correct answer
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
The working of the stomach was (1) _____ by a strange accident. In 1822, a man named Alexis St. Martin was (2) _____ hit by a shotgun. The bullet had seriously (3) _____ the chest wall and made a hole in (4)_____ stomach. He was brought to an American army (5) _____ William Beaumont. The doctor saved the patient but he (6) ______ not close the hole properly. Beaumont took it as a (7) ______ opportunity to see the inside of the stomach (8) ______ the hole. He made some wonderful observations. Beaumont (9) ______ that the stomach was churning food. Its wall secreted a fluid (10) ______ could digest the food. He also observed that the end of the stomach opens into the intestine only after the digestion of the food inside the stomach is completed.
Question: Select the most appropriate option to fill in the blank No. 6.
Option 1: should
Option 2: could
Option 3: had
Option 4: would
Correct Answer: could
Solution : The correct choice is the second option.
Explanation:
Could is the appropriate choice because it indicates ability or possibility in the past tense. The sentence is reflecting on a past event, and could not correctly expresses that the doctor was unable to do so
Question : A man bought 30 defective machines for INR 1,000. He repaired and sold them at a rate of INR 300 per machine. He made a profit of INR 150 per machine. How much did he spend on repairs?
Option 1: INR 5,500
Option 2: INR 4,500
Option 3: INR 3,500
Option 4: INR 2,500
Correct Answer: INR 3,500
Solution : The cost price of 30 defective machines = INR 1,000 The selling price of 1 machine = INR 300 Total selling price = INR 300 × 30 = INR 9,000 Profit per machine = INR 150 Total profit = INR 150 × 30 =
Question : In Chola administration,________ was the assembly in the villages which were inhabited predominantly by the Brahmanas.
Option 1: Ur
Option 2: Khilya
Option 3: Nagaram
Option 4: Sabha
Correct Answer: Sabha
Solution : The correct option is Sabha.
In the Chola administration, the assembly in villages predominantly inhabited by Brahmanas was known as the Sabha. These assemblies played a significant role in the governance and local administration of Chola society, and they were responsible for various local matters
Question : When Granite rocks get metamorphosed, they form
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The correct answer is Gneiss.
Gneiss is a metamorphic rock of high grade, which means it has been subjected to high temperatures and pressures. It is generated as a result of the metamorphism of granite or sedimentary rock. Gneiss has distinct foliation, which represents alternating layers
Question : Directions: If a mirror is placed on line AB, which of the answer figures is the right image of the given figure?
Solution : As per mirror image properties, closer things appear close to the mirror in reflection. According to the information provided, if the mirror is placed on the right side of the figure (on line AB), the right of the reflected image will appear as the left, and
Question : If $x+3y=-3x+y$, then $\frac{x^{2}}{2y^{2}}$ is equal to:
Option 1: $\frac{1}{8}$
Option 2: $\frac{1}{2}$
Option 3: $\frac{1}{4}$
Option 4: $4$
Correct Answer: $\frac{1}{8}$
Solution : Given: $x+3y=-3x+y$ Solution: ⇒ $x+3y+3x-y=0$ ⇒ $4x+2y=0$ ⇒ $2(2x+y)=0$ ⇒ $2x+y=0$ ⇒ $y=–2x$ Put the value of $y$ in $\frac{x^{2}}{2y^{2}}$ = $\frac{x^{2}}{2(–2x)^{2}}$ = $\frac{x^{2}}{8x^{2}}$ = $\frac{1}{8}$ Hence, the correct answer is $\frac{1}{8}$.
Question : If $\cot A=1, \sin B=\frac{1}{\sqrt{2}}$, find the value of $\sin (A+B)-\cot (A+B)$.
Option 1: $1-\sqrt{2}$
Option 3: $0$
Option 4: $1$
Correct Answer: $1$
Solution : $\cot A = 1= \cot 45°$ $\therefore A = 45°$ $\sin B = \frac{1}{\sqrt{2}}=\sin45°$ $\therefore B = 45°$ $\sin (A+B) = \sin 90° = 1$ $\cot (A+B) = \cot 90° = 0$ $\therefore \sin (A+B) -\cot (A+B) =1-0= 1$ Hence, the correct answer is $1$.
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